Effects of an external constant pressure gradient on a steady incompressible laminar flow through a semi-porous annular pipe.
In this paper, we examine a steady laminar flow for an incompressible fluid located in a semi porous annular pipe and subjected to a favorable constant pressure gradient applied between the two borders of the pipe. The inner wall is impermeable and the fluid is sucked or injected at the outer wall a...
| Published in: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 77; no. 2; pp. 131 - 142 |
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| Main Authors: | , , , , |
| Format: | Article |
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De Gruyter
Feb2022
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| Subjects: | |
| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=155148743&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 155148743 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Feb2022 vid: 77 iid: 2 pid: 1734 pub: De Gruyter artinfo: ui: 155148743 10.1515/zna-2021-0257 ppf: 131 ppct: 11 formats: tig: atl: Effects of an external constant pressure gradient on a steady incompressible laminar flow through a semi-porous annular pipe. aug: au: Mbogba, Guy Leopold Ngo Nyobe, Elisabeth Lamara, Maurice Mbono Samba, Yves Christian Pemha, Elkana affil: Applied Mechanics Laboratory, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon Department of Mathematics and Physical Science, National Advanced School of Engineering, University of Yaoundé I, P.O. Box 8390, Yaoundé, Cameroon su: Incompressible flow Stream function Boundary value problems Pipe flow Navier-Stokes equations Nonlinear differential equations Laminar flow sug: subj: Incompressible flow Stream function Boundary value problems Pipe flow Navier-Stokes equations Nonlinear differential equations Laminar flow keyword: laminar flows in semi porous annular pipes Newton–Raphson optimization algorithm numerical shooting technique similarity-solution method vorticity equation wall shear stress ab: In this paper, we examine a steady laminar flow for an incompressible fluid located in a semi porous annular pipe and subjected to a favorable constant pressure gradient applied between the two borders of the pipe. The inner wall is impermeable and the fluid is sucked or injected at the outer wall at constant and uniform velocity, orthogonally to the wall. The problem under study depends on three parameters: the pipe gap ratio, the dimensionless external pressure gradient, and the Reynolds number defined from the sum of the suction or injection velocity and the maximum Hagen–Poiseuille velocity. The conservation of mass induces the zero-divergence velocity field which allows replacing the steady-flow Navier–Stokes equations with a single equation satisfied by the stream function and called the vorticity equation. Assuming the similarity-solution hypothesis, the problem under consideration is reduced to a fourth-order nonlinear ordinary differential equation with two boundary conditions at each wall. The numerical shooting technique including the Runge–Kutta algorithm and the Newton–Raphson optimization method is applied to obtain the solution for the steady flow. For various values of the dimensionless external pressure gradient, the profiles of the velocity components are found and investigations on the wall shear stress for both walls are performed. The results obtained are discussed and physical understandings for the problem studied are derived. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2022 holdings: @attributes: islocal: N |
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